4085427307536 has 135 divisors (see below), whose sum is σ = 11489524459959. Its totient is φ = 1355171337216.

The previous prime is 4085427307531. The next prime is 4085427307537. The reversal of 4085427307536 is 6357037245804.

It is a happy number.

The square root of 4085427307536 is 2021244.

It is a perfect power (a square), and thus also a powerful number.

4085427307536 is a `hidden beast` number, since 4 + 0 + 8 + 54 + 27 + 30 + 7 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1784308208400 + 2301119099136 = 1335780^2 + 1516944^2 .

It is not an unprimeable number, because it can be changed into a prime (4085427307531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9435166776 + ... + 9435167208.

Almost surely, 2^{4085427307536} is an apocalyptic number.

4085427307536 is the 2021244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085427307536

4085427307536 is an abundant number, since it is smaller than the sum of its proper divisors (7404097152423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4085427307536 is an frugal number, since it uses more digits than its factorization.

4085427307536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 4085427307536 in words is "four trillion, eighty-five billion, four hundred twenty-seven million, three hundred seven thousand, five hundred thirty-six".